Answers
Using the properties of a parallelogram, we determined that the measure of angle ABE is 75 degrees and the measure of angle CDF is 105 degrees.
Since the given figure is a parallelogram, we know that opposite angles are congruent. Therefore, we can find the measure of angle ABE by subtracting the measure of angle CBD from 180 degrees:
Angle ABE = 180 degrees - Angle CBD
Angle ABE = 180 degrees - 105 degrees
Angle ABE = 75 degrees
Similarly, we can find the measure of angle CDF by subtracting the measure of angle BDC from 180 degrees:
Angle CDF = 180 degrees - Angle BDC
Angle CDF = 180 degrees - 75 degrees
Angle CDF = 105 degrees
Therefore, the measure of angle ABE is 75 degrees and the measure of angle CDF is 105 degrees.
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Related Questions
What is the minimum hot-holding temperature for fried shrimp? a. 105 ° F41 ° C b. 115 ° F46 ° C c. 125 ° F52 ° C d. 135 ° F 57 ° C
Answers
The minimum hot-holding temperature for fried shrimp is d. 135 ° F 57 ° C. It is important to maintain this temperature to ensure that the food remains safe for consumption and to prevent the growth of harmful bacteria.
The minimum hot-holding temperature for fried shrimp is 135 °F (57 °C). When food is hot-held, it means it is kept at a specific temperature after cooking to maintain its quality and safety until it is served or consumed. This temperature is important because it helps prevent the growth of harmful bacteria, such as Salmonella and E. coli, that can cause food borne illnesses.
At a hot-holding temperature of 135 °F (57 °C) or higher, the heat inhibits the growth of bacteria, ensuring that the fried shrimp remains safe for consumption. This temperature range is considered a critical control point in food safety practices.
It's worth noting that the temperature of 135 °F (57 °C) is the minimum requirement for hot-holding fried shrimp. However, in practice, it's generally recommended to hold the shrimp at a slightly higher temperature to account for any temperature loss that may occur over time.
Some food establishments may set their hot-holding equipment to maintain a temperature of 140 °F (60 °C) or higher to ensure the safety and quality of the food.
By adhering to proper temperature control guidelines, including maintaining the minimum hot-holding temperature of 135 °F (57 °C), you can help prevent the risk of food borne illnesses and ensure that the fried shrimp remains safe and enjoyable to consume.
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calculate the surface area and then the volume
Answers
Answer:
To calculate the surface area and volume of a cylinder, we can use the following formulas:
a) Surface Area of a Cylinder:
The surface area of a cylinder consists of two circles (top and bottom) and the curved surface area.
The formula for the surface area of a cylinder is:
SA = 2πr² + 2πrh
Where:
SA = Surface Area
r = Radius of the base (half the diameter)
h = Height of the cylinder
Given that the diameter is 16 yards, the radius is half of that, so r = 8 yards. The height is 20 yards.
Substituting the values into the formula, we get:
SA = 2π(8)² + 2π(8)(20)
= 2π(64) + 2π(160)
= 128π + 320π
= 448π
So, the surface area of the cylinder is 448π square yards.
b) Volume of a Cylinder:
The formula for the volume of a cylinder is:
V = πr²h
Using the same values for the radius (r = 8 yards) and height (h = 20 yards), we can calculate the volume:
V = π(8)²(20)
= 64π(20)
= 1280π
The volume of the cylinder is 1280π cubic yards.
A bakery offers a sale price of 2.55 for 4 muffins.what is the price per dozen?
I hope someone answers fast
And explain what you did
Answers
Answer: $7.65 for a dozen/12
Step-by-step explanation: 2.55 x 3
The values of w is inversely proportional to m .If w=8 then m=25; what is m when w=20? Show me the steps please
Answers
Answer:
m = 10
Step-by-step explanation:
The values of w is inversely proportional to m
Mathematically:
w ∝ 1/m
w = k × 1/m
w = k/m
Where k is the Constant of Proportionality
Step 1
Solve for k
If w=8 then m=25
w = k/m
8 = k/25
Cross Multiply
k = 25 × 8
k = 200
Step 2
what is m when w=20? Show me the steps please
We solve for m
w = k/m
k = 200
20 = 200/m
Cross Multiply
20m = 200
m = 200/20
m = 10
Help with please question
Answers
The most appropriate choice for parallelogram will be given by
\(\Delta ABD \cong \Delta CDB\) has been proved
What is a parallelogram?
Parallelogram is a quadrilateral in which each pair of opposite sides are parallel and equal.
There are different properties of parallelogram-
Opposite sides of a parallelogram are equal
Opposite angles of a parallelogram are equal
Diagonals of a parallelogram bisect each other
Here,
AD || BC [Definition of Parallelogram]
\(\angle ADB \cong \angle CBD\) [Alternate interior angle theorem]
AB || CD [Definition of Parallelogram]
\(\angle ABD \cong \angle CDB\) [Alternate interior angle theorem]
\(DB \cong DB\) [DB is the common side]
\(\Delta ABD \cong \Delta CDB\) [ASA axiom]
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A recipe for sparkling grape juice calls for quarts of sparkling water and quart of grape juice. How much sparkling water would you need to mix with 9 quarts of grape juice?
Answers
Answer:
For this case we can make the following rule of three:
1 1/2 ---------> 3/4
x --------------> 9
We clear the value of x:
x = ((9) / (3/4)) * (1 1/2)
Rewriting we have:
x = ((9) * (4/3)) * (1 1/2)
x = (36/3) * (1 1/2)
x = (12) * (1 1/2)
x = (12) * (3/2)
x = 18
Answer:
you would need 18 quarts of sparkling water to mix with 9 quarts of grape juice
Nolan is following his family's macaroni and cheese recipe. The recipe calls for 6 cups of shredded
cheese and 4 tablespoons of milk. He wants to make a smaller batch, so he uses only 3 cups of
shredded cheese.
How much milk does Nolan need for this smaller batch?
tablespoons
Answers
Answer:2 tablespoons of milk
Step-by-step explanation:
If nolan divides 6 by 2 he gets 3 cups of shredded cheese and to get the same results he would have to divide the milk portion too. 4/2 is 2 so he would need 2 tablespoons of milk.
20 points!! please help, will give brainliest
Answers
Answer:
(-0.8, 2.2)
Step-by-step explanation:
Where the two lines intersect is the solution to the System of Equations.
Answer:
the answer would be (-0.8, 2.2) since it hasn't hit -3 yet and if it were to be -1 it would be in the bottom left
problem 10-24 (modified) Construct confidence intervals of theappropriate confidence level for the following sample proportion(P) results:
(a) (b)
n 275 700
P 0.82 0.19
95% Lower Confidence Bound 95% Upper Confidence Bound 99% Lower Confidence Bound 99% Upper Confidence Bound
Answers
(a) The confidence intervals for the sample proportion (P = 0.82) with a 95% confidence level are approximately [0.782, 0.858], and with a 99% confidence level are approximately [0.769, 0.871].
(b) The confidence intervals for the sample proportion (P = 0.19) with a 95% confidence level are approximately [0.161, 0.219], and with a 99% confidence level are approximately [0.153, 0.227].
To construct confidence intervals for the sample proportions, we can use the formula:
Lower Confidence Bound = P - z * sqrt((P * (1 - P)) / n)
Upper Confidence Bound = P + z * sqrt((P * (1 - P)) / n)
Where:
P is the sample proportion
n is the sample size
z is the z-score corresponding to the desired confidence level
Let's calculate the confidence intervals for the given sample proportions.
(a) For n = 275 and P = 0.82:
For a 95% confidence level, the z-score is 1.96.
For a 99% confidence level, the z-score is 2.58.
95% Confidence Interval:
Lower Confidence Bound = 0.82 - 1.96 * sqrt((0.82 * (1 - 0.82)) / 275)
= 0.82 - 1.96 * sqrt((0.82 * 0.18) / 275)
≈ 0.782
Upper Confidence Bound = 0.82 + 1.96 * sqrt((0.82 * (1 - 0.82)) / 275)
= 0.82 + 1.96 * sqrt((0.82 * 0.18) / 275)
≈ 0.858
99% Confidence Interval:
Lower Confidence Bound = 0.82 - 2.58 * sqrt((0.82 * (1 - 0.82)) / 275)
= 0.82 - 2.58 * sqrt((0.82 * 0.18) / 275)
≈ 0.769
Upper Confidence Bound = 0.82 + 2.58 * sqrt((0.82 * (1 - 0.82)) / 275)
= 0.82 + 2.58 * sqrt((0.82 * 0.18) / 275)
≈ 0.871
Therefore, the confidence intervals for the sample proportion (P = 0.82) with a 95% confidence level are approximately [0.782, 0.858], and with a 99% confidence level are approximately [0.769, 0.871].
(b) For n = 700 and P = 0.19:
For a 95% confidence level, the z-score is 1.96.
For a 99% confidence level, the z-score is 2.58.
95% Confidence Interval:
Lower Confidence Bound = 0.19 - 1.96 * sqrt((0.19 * (1 - 0.19)) / 700)
= 0.19 - 1.96 * sqrt((0.19 * 0.81) / 700)
≈ 0.161
Upper Confidence Bound = 0.19 + 1.96 * sqrt((0.19 * (1 - 0.19)) / 700)
= 0.19 + 1.96 * sqrt((0.19 * 0.81) / 700)
≈ 0.219
99% Confidence Interval:
Lower Confidence Bound = 0.19 - 2.58 * sqrt((0.19 * (1 - 0.19)) / 700)
= 0.19 - 2.58 * sqrt((0.19 * 0.81) / 700)
≈ 0.153
Upper Confidence Bound = 0.19 + 2.58 * sqrt((0.19 * 0.81) / 700)
≈ 0.227
Therefore, the confidence intervals for the sample proportion (P = 0.19) with a 95% confidence level are approximately [0.161, 0.219], and with a 99% confidence level are approximately [0.153, 0.227].
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Liam used 14 cups of food to feed his four dogs. Each dog got the same amount of food. How much food did each dog get?
Answers
Answer:
3 1/2 cups of food
Step-by-step explanation:
If each dog gets the equal amount of food just divide 14 by 4.
14 ÷ 4 = 3.5
Each dog got three and a half cups of food.
Answer:
each dog got 3.5 cups of food or 3 1/2 cups of food
Step-by-step explanation:
14 divided by 4 is 3.5
The point (6, n) lies on the circle whose equation is (x − 1)2 + (y − 5)2 = 50. Find the values of n
Answers
Answer:
n = 0 or 10
Step-by-step explanation:
From the question,
Equation of the circle = (x-1)²+(y-5)² = 50 ............... Equation 1
Coordinate of the circle = (6,n)
From the question
x = 6, y = n
Substitute the value of x and y into equation 1
(6-1)²+(n-5)² = 50
5²+(n-5)² = 50
25+(n-5)² = 50
(n-5)² = 50-25
(n-5)² = 25.
Solving for n
n-5 = √(25
n-5 = ±5
Either,
n-5 = -5
n = -5+5
n = 0
or
n-5 = +5
n = 5+5
n = 10
Answer:
n = 3.16
Step-by-step explanation:
Since the point (6, n) lies on the circle then the coordinates of the point make the equation true.
Substitute x = 6 and y = n into the equation
(6 - 1)² + (n - 5)² = 50, that is, expanding using FOIL
5² + n² - 10n + 25= 50 by simplifying
25 + n² - 10n = 50 ( subtracting 50 from both sides and rearrange )
n² - 10n = 0 ← in standard form
n²=10
n = √10
The values of n is 3.16
if a round cake has 30 slices how many slices will represent an angle of 216°?
Answers
Answer:18
Step-by-step explanation:360/30=12
216/12=18
In the Green Food System Strategy, the "vision to be achieved by 2050" (numerical targets) is presented. Select the number of the following targets that are correctly described.
-Chemical pesticide use (in terms of weight) will be reduced by 50% by 2050.
-With regard to chemical fertilizers, the use of chemical fertilizers produced in Japan from fossil fuels will be reduced by 30% by 2050.
-Regarding organic agriculture, expand the organic market and increase the ratio of organic farming to arable land to 30% (1 million hectares) by 2050.
-Regarding food loss, reduce household food loss by half from the FY2000 level by 2030.
a. 0 b. 1 c. 2 d. 3 or more
Answers
Option c. 2
Among the given targets, two targets are correctly described:
Regarding chemical pesticide use, the target is to reduce it by 50% by 2050. This aligns with the vision presented in the Green Food System Strategy.
In terms of chemical fertilizers, the target is to reduce the use of chemical fertilizers produced in Japan from fossil fuels by 30% by 2050. This target is also consistent with the strategy's vision.
The remaining two targets are not correctly described:
The target of expanding the organic market and increasing the ratio of organic farming to arable land to 30% (1 million hectares) by 2050 is not mentioned in the given options.
The target of reducing household food loss by half from the FY2000 level by 2030 is also not mentioned in the given options.
Therefore, the correct answer is option c. 2, as two of the targets are accurately described in the provided options.
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help me i am in middle school
Answers
Answer:
C and B is your answer.
Please mark me brainliest so that I get encouraged to make more great answers like this one!
If you roll a die twice what is the probability of rolling a 3 the first time and then rolling a 4 the second time? write your answer as a fraction
Answers
Answer:
Step-by-step explanation:
P(3 and 4)= 1/6×1/6
=1/36
Find the area of the figure. A composite figure made of a triangle, a square, and a semicircle. The diameter and base measure of the circle and triangle respectively is 6 feet. The triangle has a height of 3 feet. The square has sides measuring 2 feet. area: ft²
Answers
The total area of the figure in this problem is given as follows:
41.3 ft².
How to obtain the area of the composite figure?The area of the composite figure is given by the sum of the areas of all the parts that compose the figure.
The figure in this problem is composed as follows:
Triangle of base 6 feet and height 3 feet.Semicircle of radius 3 feet.Square of side length 2 feet.Then the area of the triangle is given as follows:
At = 0.5 x 6 x 3 = 9 ft².
The area of the semicircle is given as follows:
Ac = π x 3² = 28.3 ft².
The area of the square is given as follows:
As = 2² = 4 ft².
Then the total area of the figure is given as follows:
9 + 28.3 + 4 = 41.3 ft².
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A collection of nickels and quarters in a jar is worth
$8.05. If there are a total of 45 nickels and quarters
in the jar, how many nickels are there?
Answers
Answer:
16 nickels
Step-by-step explanation:
Let "n" be the number of nickels
Let "q" be the number of quarters
We know that,
1 nickel = $ 0.05 or 5 cent
1 quarter = $ 0.25 or 25 cent
Anna has a collection of 45 nickels and quarters
Therefore,
n + q = 45
q = 45 - n --------- eqn 1
Anna has a collection of 45 nickels and quarters worth $8.05
$ 8.05 is worth 805 cents
Thus we frame a equation as:
number of nickels x 5 cents + number of quarters x 25 cents = 805
5n + 25q = 805 ----- eqn 2
Let us solve eqn 1 and eqn 2
Substitute eqn 1 in eqn 2
5n + 25(45 - n) = 805
5n + 1125 - 25n = 805
20n = 1125 - 805
20n = 320
n = 16
Then there are 16 Nickels
3(7x+2)+6x plz answer
Answers
Answer:
27x +6
Step-by-step explanation:
3(7x+2)+6x
Distribute
21x+6 +6x
Combine like terms
27x +6
Answer:
The answer is 21x + 6
Step-by-step explanation:
1.) Multiply 3 to 7x and 2 since these ( ) means times whatever is inside them.
2.) Now you have 21x and 6, add 21x to 6x to equal 27x.
3.) Finally, you have your answer. 27x + 6.
Write the equation of the line that passes through (-4, 5) and (0, 2)
Answers
because the slope is 5-2/-4-0 which is -3/4 and then u substitute (0,2) (cuz it’s easier) into y=-3/4x+b and that would equal 2=-3/4•0+b
12. Refer to a bag containing 13 red balls numbered 1-13 and 5 green balls numbered 14-18. Youchoose a ball at random.aa. What is the probability that you choose a red or even numbered ball? (3 points)b. What is the probability you choose a green ball or a ball numbered less than 5?(3 points)
Answers
Given
A bag contains 13 red balls numbered 1-13 and 5 green balls numbered 14-18.
And a ball is chosen at random.
To find:
a) The probability that you choose a ren or even numbered ball.
b) The the probability you choose a green ball or a ball numbered less than 5.
Explanation:
It is given that,
The total number of balls is (13+5)=18.
The number of red balls is 13 numbered from 1-13.
The number of green balls is 5 numbered from 14-18.
i) Then, the probability of getting a a red or even numbered ball is,
\(\begin{gathered} P\left(A\cup B\right)=P\left(A\right)+P\left(B\right)-P\left(A\cap B\right) \\ =\frac{n\left(A\right)}{n\left(S\right)}+\frac{n\left(B\right)}{n\left(S\right)}-\frac{n\left(A\cap B\right)}{n\left(S\right)} \end{gathered}\)Here,
\(\begin{gathered} n\left(A\right)=n\left(red\text{ balls}\right) \\ =13 \\ n\left(B\right)=n\left(even\text{ numbered balls}\right) \\ =9 \\ n\left(A\cap B\right)=n\left(red\text{ balls and even numbered balls}\right) \\ =6 \\ n\left(S\right)=n\left(Total\text{ number of balls}\right) \\ =18 \end{gathered}\)That implies,
\(\begin{gathered} P\left(A\cup B\right)=\frac{13}{18}+\frac{9}{18}-\frac{6}{18} \\ =\frac{16}{18} \\ =\frac{8}{9} \\ =0.89 \end{gathered}\)Hence, the probability of getting a red or even numbered ball is 0.89.
ii) Also,
The probability of getting a green ball or a ball numbered less than 5 is,
\(\begin{gathered} P\left(C\cup D\right?=P\left(C\right)+P\left(D\right)-P\left(C\cap D\right) \\ =\frac{n\left(C\right)}{n\left(S\right)}+\frac{n\left(D\right)}{n\left(S\right)}-\frac{n\left(C\cap D\right)}{n\left(S\right)} \end{gathered}\)Here,
\(\begin{gathered} n\left(C\right)=n\left(green\text{ balls}\right) \\ =5 \\ n\left(D\right)=n\left(balls\text{ numbered less than 5}\right) \\ =4 \\ n\left(C\cap D\right)=n\left(a\text{ }green\text{ }ball\text{ }or\text{ }a\text{ }ball\text{ }numbered\text{ }less\text{ }than\text{ }5\right) \\ =0 \end{gathered}\)Then,
\(\begin{gathered} P\left(C\cup D\right)=\frac{5}{18}+\frac{4}{18}-0 \\ =\frac{9}{18} \\ =\frac{1}{9} \\ =0.11 \end{gathered}\)Hence, the probabilty of getting a green ball or a ball numbered less than 5 is 0.11.
what is the volume of a rectangular prism
Answers
Answer:
30
Step-by-step explanation:
I counted all the squares
a diver was collecting water samples from a lake. he collected a sample at every 3m, starting at 5m below water surface. the final sample was collected at a depth of 35m.how many sample did he collected
Answers
The diver collected water samples at every 3 meters, starting from 5 meters below the water surface, up to a final depth of 35 meters.
We can find the number of samples collected by dividing the total depth range by the distance between each sample and then adding 1 to include the first sample.
The total depth range is:
35 m - 5 m = 30 m
The distance between each sample is 3 m, so the number of samples is:
(30 m) / (3 m/sample) + 1 = 10 + 1 = 11
Therefore, the diver collected a total of 11 water samples.
When y is 0, find what x is equal to?
x + y = 30
Answers
Answer:
Should be 30
Step-by-step explanation:
30-0= 30
Here are the waiting times, in minutes, of 15 people at a train station. 15, 17, 17, 18, 19, 20, 26, 32, 35, 38, 47, 52, 53, 53, 55
Work out the lower quartile and the upper quartile of the waiting times
Answers
Answer:
LQ = 18
UQ = 52
Step-by-step explanation:
The sampling distribution is based on the assumption that the _____ hypothesis is _____.
Answers
Answer:
NULL ; TRUE
Step-by-step explanation:
The sampling distribution is on the assumption that the null hypothesis is true .
The null hypothesis is a general statement that states that there
is no relationship between two phenomenon's under
consideration or that there is no association between two groups.
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The sampling distribution is based on the assumption that the null hypothesis is TRUE.
A sampling distribution is a statistical probability distribution obtained from a large number of samples from a given population. In statistics, the population is the entire pool from which statistical samples are drawn. A population can refer to an entire group of people, things, events, visits, or measurements. A sampling distribution is the probability distribution of a statistic obtained by repeatedly sampling a specified population describes a set of possible outcomes for statistics, such as: B. Mean or mode of a population variable.A null hypothesis is a general statement that something is. There is no relationship between the two phenomena under or consider that there is no relationship between the two groups.
The sampling distribution is based on the assumption that the null hypothesis is TRUE.
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Find the Slope of the line that passes through the given points: (5, 2) and (6, 6).
Answers
Answer:
You can find slope of line using the slope formula. The slope formula is Y2-Y1/X2-X1. Substitute in the points and solve.
6-2/6-5
4/1
4
The slope of the line is 4.
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What is the solution of the equation (4x 3)2 = 18?
Answers
24
x
=
18
Step 2: Divide both sides by 24.
24
x
24
=
18
24
x
=
3
4
The solution of the quadratic equation using the Shri dharacharya formula is 0.31 and negative of 1.81.
What is a quadratic equation?It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
The quadratic expression is (4x + 3)² = 18
On solving, we have
(4x + 3)² = 18
(4x + 3) = √18
4x = - 3 ± √18
x = -3 ± √18 / 4
x = 0.31, -1.81
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A foreign exchange student from Mexico would like to buy pastries for her host family. She
finds a special deal “6 pastries for $17.94,” that she would like to purchase for her family.
However, her host family consists of 4 people. If she wants to purchase 4 pastries for her
family members at that special rate, what would the cost be of these pastries in her currency
of Mexican Pesos? (Currency conversion rate is 1 U.S. Dollar = 19.265 Mexican Pesos).
Answers
Answer:
11.96 USD = 230.41 MXN
11.96 MXN = .62 USD
Step-by-step explanation:
6 pastries for 17.94 = 1 pastry for 2.99 = 4 pastry for 11.96
11.96 USD = 230.41 MXN
11.96 MXN = .62 USD
$2.99*4=$11.96
$11.96*19.265= $230.41
What is the product of 10 numbers?.
Answers
Product of first 10 natural numbers is 3628800.
What is natural numbers?
In arithmetic, the natural numbers are those numbers used for enumeration and ordering. Numbers used for enumeration are referred to as cardinal numbers, and numbers used for ordering are referred to as ordinal numbers
Main body:
The first ten natural numbers are 1,2,3,4,5,6,7,8,9,10.
The product is the multiple all numbers.
Product of first 10 natural numbers is given by,
P = 1*2*3*4*5*6*7*8*9*10
P =3628800.
Therefore, Product of first 10 natural numbers is 3628800.
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Find a linear function h given h(-1)=-2 and h(-7)=-9 The linear function is h(x)= (Simplify your answer. Use integers or fractions for any numbers in the expression.)
Answers
h(x) = -7/6x - 25/6.
Given h(-1)=-2 and h(-7)=-9
For linear function h(x), we can use slope-intercept form which is y = mx + b, where m is the slope and b is the y-intercept.
To find m, we can use the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.
h(-1) = -2 is a point on the line, so we can write it as (-1, -2).
h(-7) = -9 is another point on the line, so we can write it as (-7, -9).
Now we can find m using these points: m = (-9 - (-2)) / (-7 - (-1)) = (-9 + 2) / (-7 + 1) = -7/6
Now we can find b using one of the points and m. Let's use (-1, -2):
y = mx + b-2 = (-7/6)(-1) + b-2 = 7/6 + b
b = -25/6
Therefore, the linear function h(x) is:h(x) = -7/6x - 25/6
We can check our answer by plugging in the two given points:
h(-1) = (-7/6)(-1) - 25/6 = -2h(-7) = (-7/6)(-7) - 25/6 = -9
The answer is h(x) = -7/6x - 25/6.
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